For each of the following infinite series, determine whether they converge or diverge. Be sure to clearly state which test you are applying and be sure to justify all conditions and/or clearly state other features (bn you are comparing to, r values or d values, f(x), etc)

2 sin (n) + 5 8n2 + 7n+1 (i) (ii) nyn E 4n2 + 3n + 10 (-1)n+2 202n (iii) (iv) (2n)! n=1 n=1